Convective heat transport features of Darcy Casson fluid flow in a vertical channel: a Lie group approach

Abstract

This work is devoted for the flow analysis and to explore the characteristics of thermal energy transport in non-Newtonian Casson fluid flow in a channel. The flow between the two walls is controlled by constantly slipping between them (fixed on a cold plate or a suction wall). The flow of Casson fluid is explored under the effects of MHD and mixed convection. The impacts of Joule heating and viscous dissipation are incorporated to investigate the thermal transport in the flow. Beside this, the heat transport behavior is properly examined by taking heat source/sink effects into account. The partial differential equations (PDEs) scheme is resolved with the Lie group method. After applying the Lie group theory, we have a system of ordinary differential equations (ODEs) numerically processed. The effects of physical constraints are analyzed with ND-Solve technique in MATHEMATICA and illustrated graphically with reasonable physical arguments. It is detected that because of escalation in the Eckert number the thermal transport in the flow significantly raised. While the flow velocity retarded in case of higher Hartmann number.